Bulbs are surprisingly resilient. My front lawn floods regularly as there is something of a hard pan below the topsoil, and I live in a marshy area. Although I lose a few bulbs, the majority keep coming back, so I wouldn't despair.

You can buy sharpening strips for push lawnmowers. They're basically strips of sandpaper that clip onto the mower and sharpen the blades as you push the lawnmower. They're single use, and not that expensive. Have a look in a large DIY store or garden centre for them.

Definitely don't put the amaryllis outside yet - frost will kill it. You can put it in a standard large pot, them keep it on a windowsill until last frost has passed. Feed and water regularly, and continue to do so when you put it outside in a sunny spot. Come October, cut off any leaves, allow the compost to dry out and put it in a cool place (under 12C) for about 12 weeks - do not let it get frosted. Then refresh the soil, bring into the warm and start watering again.